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The ratio between the length and the breadth of a rectangular field is 3 : 2. If only the length is increased by 5 m, the new area of the field will be 2,600 sq metres. What is breadth of the rectangular field?

A.	40 m	B.	60 m
C.	65 m	D.	Cannot be determined

Answer and Explanation

Answer:40 m

Explanation:
Let length = 3x m and breadth = 2x m
Then, (3x + 5) * 2x = 2600 => 6x2 + 10x – 2600 = 0
3x2 + 5x – 1300 = 0 (3x + 65) (x – 20) = 0 , x = 20
Breadth = 2x = 40 m

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